Finding the Fourth Proportional to 10,078.52, 13,908.41 and 5,602.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,078.52 : 13,908.41 = 5,602.69 : x
2. Step 2: Convert to fraction form
   10,078.52/13,908.41 = 5,602.69/x
3. Step 3: Cross multiply
   10,078.52x = 13,908.41 × 5,602.69
4. Step 4: Simplify right side
   10,078.52x = 77,924,509.62
5. Step 5: Solve for x
   x = 77,924,509.62/10,078.52
6. Step 6: Final answer
   x = 7,731.74